The two cars A and B travel along the circular path at constant speeds vA = 80 ft> s and vB = 100 ft> s, respectively. If they are at the positions shown when t = 0, determine the time when the cars are side by side, and the time when they are 90° apart.
Cars A and B are traveling around the circular race track. At the instant shown, A has a speed of 60 ft> s and is increasing its speed at the rate of 15 ft> s2 until it travels for a distance of 100p ft, after which it maintains a constant speed. Car B has a speed of 120 ft> s and is decreasing its speed at 15 ft> s2 until it travels a distance of 65p ft, after which it maintains a constant speed. Determine the time when they come side by side.
